John D. Cook • 8/9/2026

A simple range reduction method

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This article explains a simple range reduction technique for computing sine and cosine of large angles, addressing precision issues in naive reduction modulo π/2. It introduces the Cody-Waite method, which splits π/2 into two constants (C1 and C2) to achieve higher accuracy. The post includes Python code examples, compares naive vs. improved methods, and discusses limitations for very large arguments. It is relevant to numerical computing and algorithm development in programming.

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#floating-point #Trigonometry #Numerical Algorithms
A simple range reduction method

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